Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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2 L*IBER* S*TATICÆ*
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plura priſmata baſis quadrangulæ in datum
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inſcribuntur eo minus ab eodem differunt;
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<
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tandem adſcenditur ut inſcripti & </
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xml:space
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ſcripti differentia quamcunque minimo ſo-
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lido minor adhuc ſit. </
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<
s
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xml:space
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">Vnde efficitur gravi-
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tatem ſitus unius ſegmenti D F C B, a gra-
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vitate ſitus reliqui ſegmenti abeſſe etiam mi-
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nori differentia quam cujuſcunque minimi
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corporis quod quidem exhiberi poſſit. </
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<
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quamobrem ſic ediſſero.</
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<
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">Inæqualium & </
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</
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<
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xml:space
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">Sed horum ponderũ ſitu gravium differentiâ pondus minus exhiberi nullum poteſt. </
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Itaque horum ponderum ſitu gravium differentia nulla eſt.</
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<
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">rectam in plano R S ſibi homologam, dati
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priſmatis gravitatis centrum tranſit, ſimillimo argumento planum A Q per in-
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clinationem laterum A D, A C, & </
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<
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gravitatis centrum induere evinces; </
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<
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">ſed horum planorum communis ſectio, eſt
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recta cõnectens centra gravitatis oppoſitarum baſium, qui axis eſt d@ti priſmatis
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itaq; </
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<
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">centrum gravitatis conſiſtit in axe, eſt item in plano per R S oppoſitis
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baſibus parallelo, hoc enim & </
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diſpeſcit; </
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<
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ſis ipſum componentia dirimatur. </
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1 exempl. </
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tra connectens, pro ratione ponderum reciproce
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tributum, centrum quæſitum exhibebit, punctum
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autem ipſum incidet in centro gravitatis plani priſ-
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ma biſecantis & </
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ſolidi axem quem medium ſecat.</
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trum axem medium incîdit.</
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">Pyramidis A B C D baſis triangula B C D, gravitatis centrum
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E, axis eſto A E. </
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demonſtrator. </
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ſecet datam pyramidem, ejuſque axem A E in I; </
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parallelæ terminentur in baſi B C D. </
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plano N O P baſi parallelo, & </
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rallelis N R, O S, P T, comprehendatur pyramis N O P R S T.</
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